4.5 Article

Korn inequality on irregular domains

Journal

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.09.076

Keywords

Korn inequality; Divergence equation; Poincare inequality; s-John domain; Quasihyperbolic metric

Funding

  1. NSFC [11301029]
  2. Fundamental Research Funds for Central Universities of China [2013YB60]
  3. SRF for ROCS, SEM
  4. Finnish National Graduate School in Mathematics and its Applications

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In this paper, we study the weighted Korn inequality on some irregular domains, e.g., s-John domains and domains satisfying quasihyperbolic boundary conditions. Examples regarding sharpness of the Korn inequality on these domains are presented. Moreover, we show that Korn inequalities imply certain Poincare inequality. (C) 2014 Elsevier Inc. All rights reserved.

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